Kluczynski was elected to the Illinois Senate in 1948 and served until December 1949, having become a candidate for Congress.

Kluczynski was elected as a Democrat to the Eighty-second Congress.
He was reelected to the twelve succeeding Congresses, and served from January 3, 1951, until his death from a heart attack January 26, 1975, in Chicago.[1]
He was interred in Resurrection Mausoleum, Justice, Illinois.

The office building at the Chicago Federal Center, known as the Kluczynski Federal Building, was named in Kluczynski's honor after his death in 1975.[2]